Institute for Pure and Applied Mathematics

纯数学和应用数学研究所的使命是促进数学与广泛的科学和技术之间的互动，建立新的跨学科研究社区，促进数学创新，并通过数学参与和改变世界。数学是当前许多技术的基本组成部分，包括互联网搜索引擎、磁共振成像和计算机断层扫描等医学成像、语音识别系统、DNA测序方法等许多其他技术。未来的发展--如智能电网、个性化医疗和新形式的社交网络--将需要进一步的数学创新。IPAM的总体目标是促进数学家与医生、工程师、物理学家、社会科学家和人文学家的互动，使未来的技术和社会进步成为可能。IPAM通过研讨会和将数学与其他学科或多个数学领域联系起来的长期计划来履行其使命。这些活动每年吸引数以千计的来自学术界、政府和工业界的游客。IPAM还有一些计划，鼓励妇女和少数族裔成员加入数学界，这些计划服务于政府机构的具体需求，并让公众了解现代数学的兴奋之处以及通过数学为社会做出的重要贡献。通过这些活动，IPAM服务于国家利益。IPAM通过刺激科学进步所需的数学发展来促进科学进步；通过应对疾病建模、系统性金融风险评估和交通控制等挑战的计划来促进国家健康、繁荣和福利；通过解决先进雷达、计算机辅助决策和新通信模式等国防需求的计划来帮助确保国防安全。

AbstractAward DMS 1440415, Principal Investigator Russell E. CaflischThe mission of the Institute for Pure and Applied Mathematics (IPAM) is to foster the interaction of mathematics with a broad range of science and technology, to build new interdisciplinary research communities, to promote mathematical innovation, and to engage and transform the world through mathematics. Mathematics is an essential ingredient in much of current technology, including internet search engines, medical imaging such as magnetic resonance imaging and computed tomography, voice recognition systems, DNA sequencing methods, and many others. Future developments -- such as smart electrical grids, personalized medicine, and new forms of social networking -- will require further mathematical innovation. IPAM's overall goal is to foster the interaction of mathematicians with doctors, engineers, physical scientists, social scientists, and humanists to enable such future technological and social progress. IPAM fulfills its mission through workshops and long programs that connect mathematics and other disciplines or multiple areas of mathematics. These activities bring in thousands of visitors annually from academia, government, and industry. IPAM also has programs that encourage the inclusion of women and members of minorities underrepresented in the mathematics community, that serve specific needs of government agencies, and that inform the public about the excitement of modern mathematics and the important contributions that have come to society through mathematics. Through these activities, IPAM serves the national interest. IPAM promotes the progress of science by stimulating the mathematical developments that are needed for this progress; advances the national health, prosperity, and welfare through programs that address challenges such as disease modeling, systemic financial risk assessment, and traffic control; and helps to secure the national defense through programs that address defense requirements such as advanced radar, computer-aided decision making, and new communication modalities.